Use a Table of Integrals to Evaluate the Integral $\int x \sqrt { 2 + 2 x } d x$

question 33

Multiple Choice

Use a table of integrals to evaluate the integral. $\int x \sqrt { 2 + 2 x } d x$

• A) \(\frac { 2 \sqrt { 2 } } { 15 } ( 2 x - 1 ) ( x + 1 ) ^ { 3 / 2 } + C\)
• B) \(\frac { 2 \sqrt { 2 } } { 15 } ( 3 x - 2 ) ( x + 1 ) ^ { 3 / 2 } + C\)
• C) \(\frac { 2 } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)
• D) \(\frac { 2 \sqrt { 2 } } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)

Comprehend the pricing models for options, including factors influencing option pricing.

Recognize the strategic use of options in investment decisions based on market predictions.

Understand employee stock options and their implications for the holder.

Learn about the lower bound of option prices and factors that affect it.

---

Definitions:

Surplus

An excess of what is needed, often referring to goods, funds, or resources beyond what is used.

Tariff

A levy placed by the government on goods being imported or exported.

Consumer Surplus

The distinction between the theoretical spending capacity of consumers on a good or service and their actual spending.

Trade

The exchange of goods, services, or both between two or more parties, either domestically or internationally.